JOURNAL OF ALGEBRA, vol.582, pp.26-38, 2021 (Peer-Reviewed Journal)
Article / Article
JOURNAL OF ALGEBRA
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Subrack lattice of a group, Nilpotence class, p-Nilpotence
We prove that the isomorphism type of the subrack lattice of a finite group determines the nilpotence class. We analyze the problem of estimating the orders of the group elements corresponding to the atoms of the subrack lattice. As a result, we show that the subrack lattice determines p-nilpotence of the group if a certain condition is met. (C) 2021 Elsevier Inc. All rights reserved.